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140752354080 = 253513174359523
BaseRepresentation
bin1000001100010101111…
…1100111101100100000
3111110022021101102112010
42003011133213230200
54301230100312310
6144354415232520
713111655161302
oct2030537475440
9443267342463
10140752354080
1154769041978
1223341818740
1310371702120
146b53513972
1539dbcd6320
hex20c57e7b20

140752354080 has 768 divisors, whose sum is σ = 527093360640. Its totient is φ = 31250644992.

The previous prime is 140752354069. The next prime is 140752354091. The reversal of 140752354080 is 80453257041.

It is an interprime number because it is at equal distance from previous prime (140752354069) and next prime (140752354091).

It is a super-2 number, since 2×1407523540802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 269124699 + ... + 269125221.

It is an arithmetic number, because the mean of its divisors is an integer number (686319480).

Almost surely, 2140752354080 is an apocalyptic number.

140752354080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140752354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263546680320).

140752354080 is an abundant number, since it is smaller than the sum of its proper divisors (386341006560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140752354080 is a wasteful number, since it uses less digits than its factorization.

140752354080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 140752354080 in words is "one hundred forty billion, seven hundred fifty-two million, three hundred fifty-four thousand, eighty".